###
**Two successive discount of 10% and 20% are equivalent to a single discount of:**

A. 30%
B. 28%
C. 26%
D. 25%
**Answer: Option B**

## Show Answer

Solution(By Apex Team)

**Use Formula**, Equivalent Discount $=(A+B)-\frac{A B}{100}$ where A = First Discount, B =Second Discount. Equivalent Discount = (20 + 10) – $\frac{20 \times 10}{100}$ Equivalent Discount = 30 – 2 = 28%

**Second Method**100 == 20%(disc.) ⇒ 80 == 10%(disc.) ⇒ 72 Equivalent discount = 28%

## Related Questions on Profit and Loss

### A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is:

A. 45 : 56B. 45 : 51

C. 47 : 56

D. 47 : 51

### By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:

A. Rs. 2600B. Rs. 2700

C. Rs. 2800

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### A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

A. A neither losses nor gainsB. A makes a profit of 11%

C. A makes a profit of 20%

D. B loses 20%

### A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 600 less, he would have made a profit of 32%. The cost price of the horse was.

A. Rs. 3,750B. Rs. 3,250

C. Rs. 2,750

D. Rs. 2,250